Decimals and fractions are two different ways of representing numbers. Decimals use a base-10 system, while fractions use a numerator and a denominator. Converting between the two can be useful in various mathematical operations and applications. This article explores the conversion of .1250 to a fraction.
Key Facts
- Converting a decimal to a fraction involves writing the decimal as a fraction of one and simplifying it if necessary.
- To convert .1250 to a fraction, we can follow the steps mentioned in the search results:
a. Write down the decimal as a fraction of one: .1250 = .1250/1.
b. Multiply both the numerator and denominator by 10 until you get an integer at the numerator: .1250/1 = (0.1250 × 1000)/(1 × 1000) = 125/1000.
c. Simplify the fraction if possible: 125/1000 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 125. This simplifies the fraction to 1/8. - Therefore, .1250 can be expressed as the fraction 1/8.
Steps for Conversion
To convert .1250 to a fraction, we can follow these steps:
- Write down the decimal as a fraction of one.1250 = .1250/1.
- Multiply both the numerator and denominator by 10 until you get an integer at the numerator.1250/1 = (0.1250 × 1000)/(1 × 1000) = 125/1000.
- Simplify the fraction if possible125/1000 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 125. This simplifies the fraction to 1/8.
Result
Therefore, .1250 can be expressed as the fraction 1/8.
Conclusion
In summary, converting .1250 to a fraction involves writing the decimal as a fraction of one and simplifying it if necessary. By following the steps outlined above, we find that .1250 is equivalent to the fraction 1/8. This conversion can be useful in various mathematical operations and applications where fractions are more suitable or convenient to use.
References
- Convert Decimals to Fractions: https://coolconversion.com/math/decimal-to-fraction/What-is_1250_as-a-fraction
- 1250 percent as a fraction: https://coolconversion.com/math/as-a-fraction/_1250_percent-as-a-fraction
- .1250 as a Fraction: https://www.asafraction.net/number/.1250
FAQs
What is the decimal .1250?
.1250 is a decimal number representing one thousand two hundred fifty thousandths (1250/10000).
How do I convert .1250 to a fraction?
To convert .1250 to a fraction, follow these steps:
– Write .1250 as .1250/1.
– Multiply both the numerator and denominator by 1000 to get 1250/10000.
– Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (125), resulting in 1/8.
What is the simplest form of the fraction equivalent to .1250?
The simplest form of the fraction equivalent to .1250 is 1/8.
Can .1250 be represented as a mixed number?
Yes, .1250 can be represented as the mixed number 1 1/8. This is because 1/8 is less than 1, so we can express it as a whole number (1) and a fraction (1/8).
Is .1250 a terminating or repeating decimal?
.1250 is a terminating decimal because it has a finite number of digits after the decimal point.
What is the decimal equivalent of the fraction 1/8?
The decimal equivalent of the fraction 1/8 is 0.125.
How can I convert other decimals to fractions?
To convert other decimals to fractions, follow the same steps as outlined for converting .1250 to a fraction:
– Write the decimal as a fraction of one.
– Multiply both the numerator and denominator by a power of 10 to make the numerator an integer.
– Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
Are there any online tools or calculators available to convert decimals to fractions?
Yes, there are many online tools and calculators available that can convert decimals to fractions and vice versa. These tools can be useful for quick and easy conversions.